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Home | People | Rene van den Brink
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Rene van den Brink

Research Fellow

University
Vrije Universiteit Amsterdam
Researchgroup
Complexity
Interests
game theory, microeconomic theory, networks, operations research

Biography

Rene van den Brink (1964) is Professor of Decision Theory within the Mathematical Economics group at the Department of Econometrics and Operations Research at VU Amsterdam. He studied Econometrics at Tilburg University where he also defended his PhD thesis entitled ‘Relational Power in Hierarchical Organizations’.

List of publications

van den Brink, René and Simin He and Huang, Jia Ping. 2018. Polluted river problems and games with a permission structure. Games and Economic Behavior, 108, 182--205, 0899-8256

M. Álvarez-Mozos and van den Brink, R. and van der Laan, G. and O. Tejada. 2017. From hierarchies to levels: new solutions for games with hierarchical structure. International Journal of Game Theory, 46, 1089--1113, 0020-7276

van den Brink, René and Chris Dietz and van der Laan, Gerard and Genjiu Xu. 2017. Comparable characterizations of four solutions for permission tree games. Economic Theory, 63, 903--923, 0938-2259

van den Brink, J.R. and Y. Chun and Y. Funaki and B. Park. 2016. Consistency, Population Solidarity, and Egalitarian Solutions for TU-Games. Theory and Decision, 81, 427--447, 0040-5833

van den Brink, J.R. and M. Pinter. 2015. On Axiomatizations of the Shapley Value for Assignment Games. Journal of Mathematical Economics, 60, 110--114, 0304-4068

van den Brink, J.R. and Y. Funaki. 2015. Axiomatization and Implementation of Discounted Shapley Values. Social Choice and Welfare, 45, 329--344, 0176-1714

van den Brink, J.R. and R. Levinsky and M. Zeleny. 2015. On proper Shapley values for monotone TU-games. International Journal of Game Theory, 44, 449--471, 0020-7276

van den Brink, J.R. and J.J. Herings and van der Laan, G. and D. Talman. 2015. The Average Tree Permission Value for Games with a Permission Tree. Economic Theory, 58, 99--123, 0938-2259

Y. Ju and Y. Chun and van den Brink, J.R.. 2014. Auctioning and Selling Positions: A Noncooperative Approach to Queueing Conflicts. Journal of Economic Theory, 153, 33--45, 0022-0531

van den Brink, J.R. and Estevez Fernandez, M.A. and van der Laan, G. and N. Moes. 2014. Independence of downstream and upstream benefits in river water allocation problems. Social Choice and Welfare, 43, 173--194, 0176-1714

van den Brink, J.R. and E. Gonzalez-Aranguena and C. Manuel and del Pozo, M.. 2014. Order Monotonic Solutions for Genaralized Characteristic Functions. European Journal of Operational Research, 238, 786--796, 0377-2217

van den Brink, J.R. and van der Laan, G. and V. Vasil'ev. 2014. Constrained core solutions for totally positive games with ordered players. International Journal of Game Theory, 43, 351--368, 0020-7276

van den Brink, J.R. and C. Dietz. 2014. Games with a Local Permission Structure: Separation of Authority and Value Generation. Theory and Decision, 76, 343--361, 0040-5833

van den Brink, J.R. and van der Laan, G. and N. Moes. 2013. A strategic implementation of the average tree solution for cycle-free graph games. Journal of Economic Theory, 148, 2737--2748, 0022-0531

van den Brink, J.R. and Y. Funaki and van der Laan, G.. 2013. Characterization of the Reverse Talmud bankruptcy rule by Exemption and Exclusion properties. European Journal of Operational Research, 228, 413--417, 0377-2217

van den Brink, J.R. and A. Rusinowska and F. Steffen. 2013. Measuring Power and Satisfaction in Societies with Opinion Leaders: An Axiomatization. Social Choice and Welfare, 41, 671--683, 0176-1714

van den Brink, J.R. and Y. Funaki and Y. Ju. 2013. Reconciling Marginalism with Egalitarianism: Consistency, Monotonicity, and Implementation of Egalitarian Shapley Values. Social Choice and Welfare, 40, 693--714, 0176-1714

M. Alvarez-Mozos and van den Brink, J.R. and van der Laan, G. and O. Tejada. 2013. Share Functions for Cooperative Games with Levels Structure of Cooperation. European Journal of Operational Research, 224, 167--179, 0377-2217

M. Slikker and P. Borm and van den Brink, J.R.. 2012. Internal Slackening Scoring Methods. Theory and Decision, 72, 445--462, 0040-5833

van den Brink, J.R. and F. Steffen. 2012. Axiomatizations of a Positional Power Score and Measure for Hierarchies. Public Choice, 151, 757--787, 0048-5829

van den Brink, J.R. and Y. Chun. 2012. Balanced Consistency and Balanced Cost Reduction for Sequencing Problems. Social Choice and Welfare, 38, 519--529, 0176-1714

van den Brink, J.R.. 2012. On Hierarchies and Communication. Social Choice and Welfare, 39, 721--735, 0176-1714

van den Brink, J.R.. 2012. Efficiency and Collusion Neutrality in Cooperative Games and Networks. Games and Economic Behavior, 76, 344--348, 0899-8256

van den Brink, J.R. and van der Laan, G. and N. Moes. 2012. Fair agreements for sharing international rivers with multiple springs and externalities. Journal of Environmental Economics and Management, 63, 388--403, 0095-0696

van den Brink, J.R. and A. Khmelnitskaya and van der Laan, G.. 2012. An Efficient and Fair Solution for Communication Graph Games. Economics Letters, 117, 786--789, 0165-1765

van den Brink, J.R. and I.V. Katsev and van der Laan, G.. 2011. A Polynomial Time Algorithm for Computing the Nucleolus for a Class of Disjunctive Games with a Permission Structure. International Journal of Game Theory, 40, 591--616, 0020-7276

van den Brink, J.R. and van der Laan, G. and V. Pruzhansky. 2011. Harsanyi power solutions for graph-restricted games. International Journal of Game Theory, 40, 87--110, 0020-7276

van den Brink, J.R. and I.V. Katsev and van der Laan, G.. 2011. Axiomatizations of two types of Shapley values for games on union closed systems. Economic Theory, 47, 175--188, 0938-2259

van den Brink, J.R. and I.V. Katsev and van der Laan, G.. 2010. An algorithm for computing the nucleolus of disjunctive games with an acyclic permission structure. European Journal of Operational Research, 207, 817--826, 0377-2217

van den Brink, J.R.. 2010. Axiomatizations of Banzhaf Permisson Values for Games with a Hierarchical Permission Structure.. International Journal of Game Theory, 39, 445--466, 0020-7276

van den Brink, J.R. and Y. Funaki. 2009. Axiomatizations of a class of equal surplus sharing solutions for TU-games. Theory and Decision, 67, 303--340, 0040-5833

van den Brink, J.R. and R.P. Gilles. 2009. The outflow ranking method for weighted directed graphs. European Journal of Operational Research, 193, 484--491, 0377-2217

van den Brink, J.R.. 2008. Vertical Wage Differences in Hierarchically Structured Firms. Social Choice and Welfare, 30, 225--243, 0176-1714

van den Brink, J.R. and P. Borm and R. Hendrickx and G. Owen. 2008. Characterizations of the Beta and the Degree Network Power Measure. Theory and Decision, 64, 519--536, 0040-5833

van den Brink, J.R. and van der Laan, G. and V. Vasil'ev. 2008. Extreme Points of Two Digraph Polytopes: Description and Applications in Economics and Game Theory. Journal of Mathematical Economics, 44, 1114--1125, 0304-4068

van den Brink, J.R.. 2007. Null or Nullifying Players: The Difference between the Shapley Value and Equal Division Solutions. Journal of Economic Theory, 136, 767--775, 0022-0531

van den Brink, J.R. and van der Laan, G. and V. Vasil'ev. 2007. Component efficient solutions in line-graph games with applications. Economic Theory, 33, 349--364, 0938-2259

van den Brink, J.R. and van der Laan, G.. 2005. A class of consistent share functions for cooperative games in coalition structure. Games and Economic Behavior, 51, 193--212, 0899-8256

P. Borm and van den Brink, J.R. and R. Levinsky and M. Slikker. 2004. On two New Social Choice Correspondences. Mathematical Social Sciences, 47, 51--68, 0165-4896

van den Brink, J.R.. 2002. The apex power measure for directed networks. Social Choice and Welfare, 19, 845--867, 0176-1714

van der Laan, G. and van den Brink, J.R.. 2002. A Banzhaf share function for cooperative games in coalition structure. Theory and Decision, 53, 61--86, 0040-5833

van den Brink, J.R. and P. Borm. 2002. Digraph Competitions and Cooperative Games. Theory and Decision, 53, 327--342, 0040-5833

van den Brink, J.R. and van der Laan, G.. 2001. Core concepts for share vectors. Social Choice and Welfare, 18, 759--784, 0176-1714

van den Brink, J.R.. 2001. An Axiomatization of the Shapley value using a fairness property. International Journal of Game Theory, 30, 309--319, 0020-7276

van den Brink, J.R. and van der Laan, G.. 1998. Axiomatizations of the normalized Banzhaf value and the Shapley value. Social Choice and Welfare, 15, 567--582, 0176-1714

van der Laan, G. and van den Brink, J.R.. 1998. An axiomatization of a class of share functions for n-person games. Theory and Decision, 44, 117--148, 0040-5833

van den Brink, J.R.. 1997. An axiomatization of the disjunctive permission value for games with a permission structure. International Journal of Game Theory, 26, 27--43, 0020-7276

van den Brink, J.R. and R.P. Gilles. 1996. Axiomatizations of the Conjunctive Permission Value for Games with Permission Structure. Games and Economic Behavior, 12, 113--126, 0899-8256